Can I store ode23 the function handle parameters?

Hi all; I use ode23 to solve the ordinary differential equations

[t02,y] = ode23(@(t,x)f(t,x,F,kc, @(t)lookup_u(zdot,t)), [0 2], x00,opt);

As the function handle ( @(t,x)f(t,x,F,kc, @(t)lookup_u(zdot,t)) depends on another function handle ( @(t)lookup_u(zdot,t)) which is

function u = lookup_u(tu, t)
i = find(tu.t <= t, 1, 'last');
[m,n] = size(tu.u);
if (m==1) || (n==1)
    if i<length(tu.t)
        u = (tu.u(i)*(tu.t(i+1) -t) + tu.u(i+1)*(t-tu.t(i)))/(tu.t(i+1)-tu.t(i));
    else
        u = tu.u(i); 
    end
else
    if i < length(tu.t)
        u = (tu.u(:,i)*(tu.t(i+1) -t) + ...
            tu.u(:,i+1)*(t-tu.t(i)))/(tu.t(i+1)-tu.t(i));
    else
        u = tu.u(:,i);
    end
end
end

My question: Is there any way to save t and u values in a vectors as they change at every integration step. Regards